66276391104 has 448 divisors, whose sum is σ = 248863104000. Its totient is φ = 16793395200.

The previous prime is 66276391099. The next prime is 66276391121. The reversal of 66276391104 is 40119367266.

66276391104 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 639 + 1 + 1 + 0 + 4 = 666.

66276391104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 66276391104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5449222 + ... + 5461370.

It is an arithmetic number, because the mean of its divisors is an integer number (555498000).

Almost surely, 2^66276391104 is an apocalyptic number.

66276391104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66276391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552000).

66276391104 is an abundant number, since it is smaller than the sum of its proper divisors (182586712896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66276391104 is a wasteful number, since it uses less digits than its factorization.

66276391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 66276391104 in words is "sixty-six billion, two hundred seventy-six million, three hundred ninety-one thousand, one hundred four".